We study local regularity properties of value functions of time-dependenttug-of-war games. For games with constant probabilities we get local Lipschitzcontinuity. For more general games with probabilities depending on space andtime we obtain H\"older and Harnack estimates. The games have a connection tothe normalized $p(x,t)$-parabolic equation $(n+p(x,t))u_t=\Delta u+(p(x,t)-2)\Delta_{\infty}^N u$.
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机译：我们研究与时间有关的拔河比赛的价值函数的局部规律性。对于概率恒定的游戏，我们获得了局部Lipschitzcontinuity。对于概率取决于空间和时间的更一般的游戏，我们获得H \“ older和Harnack估计。游戏与归一化的$ p（x，t）$-抛物方程$（n + p（x，t））u_t相关= \ Delta u +（p（x，t）-2）\ Delta _ {\ infty} ^ N u $。
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